6(2X-9)-5=6(X-4)+1

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Solution for 6(2X-9)-5=6(X-4)+1 equation: 


Simplifying
6(2X + -9) + -5 = 6(X + -4) + 1

Reorder the terms:
6(-9 + 2X) + -5 = 6(X + -4) + 1
(-9 * 6 + 2X * 6) + -5 = 6(X + -4) + 1
(-54 + 12X) + -5 = 6(X + -4) + 1

Reorder the terms:
-54 + -5 + 12X = 6(X + -4) + 1

Combine like terms: -54 + -5 = -59
-59 + 12X = 6(X + -4) + 1

Reorder the terms:
-59 + 12X = 6(-4 + X) + 1
-59 + 12X = (-4 * 6 + X * 6) + 1
-59 + 12X = (-24 + 6X) + 1

Reorder the terms:
-59 + 12X = -24 + 1 + 6X

Combine like terms: -24 + 1 = -23
-59 + 12X = -23 + 6X

Solving
-59 + 12X = -23 + 6X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-6X' to each side of the equation.
-59 + 12X + -6X = -23 + 6X + -6X

Combine like terms: 12X + -6X = 6X
-59 + 6X = -23 + 6X + -6X

Combine like terms: 6X + -6X = 0
-59 + 6X = -23 + 0
-59 + 6X = -23

Add '59' to each side of the equation.
-59 + 59 + 6X = -23 + 59

Combine like terms: -59 + 59 = 0
0 + 6X = -23 + 59
6X = -23 + 59

Combine like terms: -23 + 59 = 36
6X = 36

Divide each side by '6'.
X = 6

Simplifying
X = 6

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